Vault Mosaics of the Kukeldash Madrasah, Bukhara, Uzbekistan
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The vault mosaics at the entrance of Kukeldash Madrasah in Bukhara (built in 1568–69) display three different geometric types, all of them with 8mm symmetry. Type 1 is the centrally-positioned Kond-style tiling, a combination of 10-, 12-, and 16-fold rosettes with pentagons and lozenges. Type 2 is a unique curvilinear pattern formed by irregular hexagonal tiles in non-linear hexagonal arrangement. Interpretation of this pattern as a net of intersecting geometric curves is made in the paper and its construction is discussed. Type 3 is represented by colourful non-linear mosaics based on combination of local centers with five and sixfold multiplicity, interpreted as the antithesis of the type 2 mosaic.
All images are by the author.
- Bonner, Jay. 2014. The historical use of polygonal systems to create Islamic geometric patterns. In: Castéra Jean-Marc (ed). Les Tracés de l’Arabesque Géométrique. Casablanca: Academie des Arts Traditionnels, 73–83.Google Scholar
- Bonner, Jay. 2017. Islamic Geometric Patterns. New York: Springer Nature.Google Scholar
- Brette, Jean. 1976. Courbes Mathématiques. Revue du Palais de la Decouverte 8: 2–167.Google Scholar
- Bronshtein, I.N. and K. A. Semendyayev. Undated post-1973 edition. A Guide Book to Mathematics. Zürich: Verlag Harri Deutsch.Google Scholar
- Gippenreiter, Vadim, Mikhail Anikst, and Iraida Borodina. 1987. Central Asia. Gems of 9th–19th Century Architecture. Moscow: Planeta Publishers.Google Scholar
- Hrbas, M and Knobloch, E. 1965. Umĕní Střední Asie. Prague: State Publishing House for Letters and Arts. (In Czech.)Google Scholar
- Makovicky, Emil. 2008. Another look at the Blue Tomb of Maragha, a site of the first quasicrystalline Islamic pattern. Symmetry: Culture and Science 19: 127–151.Google Scholar
- Makovicky, Emil. 2016a. Symmetry: Through the Eyes of Old Masters. Berlin: De Gruyter.Google Scholar
- Makovicky, Emil. 2016b. On the Kond style of Islamic tiling: a study in practical Islamic geometry. Rendiconti Lincei. Scienze Fisiche e Naturali. https://doi.org/10.1007/s12210-016-0571-1.
- Mayhew, Bradley, Richard Plunkett and Simon Richmond. 2000. Central Asia. Melbourne: Lonely Planet Publications.Google Scholar
- Pedoe, Dan. 1988. Geometry: a Comprehensive Course. Mineola, N.Y.: Dover Publications.Google Scholar
- Stephenson, K. 2003. Circle Packing: A Mathematical Tale. Notices of the American Mathematical Society 50 (11): 1376–1388.Google Scholar
- Wikipedia. 2017. Hyperbola. https://en.wikipedias.org/wiki/Hyperbola